Hume-Rothery rule

Hume-Rothery rule

[′hyüm ′rȯth·ə·rē ‚rül]
(solid-state physics)
The rule that the ratio of the number of valence electrons to the number of atoms in a given phase of an electron compound depends only on the phase, and not on the elements making up the compounds.
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Hume-Rothery rules for structurally complex alloy phases.
For some 90 years, explains Mizutani (Nagoy Industrial Science Research Institute, Japan), the Hume-Rothery rules on factors that enhance or hinder the stability of phases in materials has focused attention on three aspects of alloying: the electrochemical effects, the size factor effects, and the change of electron concentration.
And this does not fulfill the criteria for formation of solid solutions according to Hume-Rothery rules [26].